“先二后一”法计算三重积分的实例解析  

Example Analysis of “After The First Two Method” to Calculate Triple Integral

作　　者：郭高荣[1] 燕艳菊[1] 

机构地区：[1]安阳工学院数理学院,河南安阳455000

出　　处：《河北北方学院学报（自然科学版）》2013年第4期1-2,7,共3页Journal of Hebei North University:Natural Science Edition

基　　金：河南省教育科学规划课题(2010-JKGHAG-0102);安阳工学院2011~2012年校科研基金项目立项资助(20112012)

摘　　要：针对几种不同版本的《高等数学》教材用"先二后一"法计算三重积分,很难让学生理解并掌握的现状,给出了只有当被积函数满足一定条件,且平面闭区域Dz、平面闭区域Dx或平面闭区域Dy的面积容易计算时,用"先二后一"法计算三重积分比较简便。According to several different versions of Higher Mathematics,"after the first two"method is used to calculate triple integral,but it is very difficult for students to understand and grasp.This paper presents that only when the integrand satisfies certain conditions,and the area of closed region Dz or Dx or Dy is easy to calculate,can"after the first two"method be relatively simple to calculate the triple integral.

关 键 词：先二后一法 三重积分 实例 

分 类 号：S[农业科学]